Question

Find the slope of each line defined below and compare their values.​

Answer 1

`\displaystyle less\:than \\ Line\:B: 1 \\ Line\:A: -(1)/(2)`

Explanation:

For Line B, starting from the y-intercept of
`\displaystyle [0, 2],`you do
`\displaystyle (rise)/(run)`by either moving one block south over one block west or one block north over one block east [west and south are negatives].

Now, for Line A, the rate of change [slope] is already given to you because in the Slope-Intercept Formula,
`\displaystyle y = mx + b,`the slope is represented by m, and the slope is −½.

So, the slope of Line A is
`\displaystyle -(1)/(2),`and since
`\displaystyle -(1)/(2)`is less than 1, less than would be your answer.

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